Fuzzy risk analysis based on a geometric ranking method for generalized trapezoidal fuzzy numbers

被引：17
作者：
Akyar, Emrah [1 ]
Akyar, Handan [1 ]
Duezce, Serkan Ali [1 ]
机构：
[1] Anadolu Univ, Dept Math, Fac Sci, TR-26470 Eskisehir, Turkey
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2013年 / 25卷 / 01期
关键词：
Generalized trapezoidal fuzzy numbers; ranking fuzzy numbers; fuzzy risk analysis; REASONABLE PROPERTIES; REVISED METHOD; HEIGHTS;
D O I：
10.3233/IFS-2012-0628
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this study, we present a new method for ranking generalized trapezoidal fuzzy numbers based on the incenter and inradius of a triangle. The proposed method is simple and easy to apply to real life problems. The method can also rank crisp numbers and fuzzy numbers with the same centroid point. Some comparative examples are also given to illustrate the advantages of the proposed method. Based on the proposed ranking method, we also give an application to the fuzzy risk analysis problem.
引用
收藏
页码：209 / 217
页数：9
相关论文
共 29 条
  • [21] Ramli N., 2009, European Journal of Scientific Research, V28, P492
  • [22] Schmucker KJ, 1983, FUZZY SETS NATURAL L
  • [23] Reasonable properties for the ordering of fuzzy quantities (I)
    Wang, XH
    Kerre, EE
    [J]. FUZZY SETS AND SYSTEMS, 2001, 118 (03) : 375 - 385
  • [24] Wang XZ, 2001, FUZZY SET SYST, V118, P387, DOI 10.1016/S0165-0114(99)00063-9
  • [25] Area ranking of fuzzy numbers based on positive and negative ideal points
    Wang, Ying-Ming
    Luo, Ying
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (09) : 1769 - 1779
  • [26] Ranking L-R fuzzy number based on deviation degree
    Wang, Zhong-Xing
    Liu, Yong-Jun
    Fan, Zhi-Ping
    Feng, Bo
    [J]. INFORMATION SCIENCES, 2009, 179 (13) : 2070 - 2077
  • [27] A note on ranking generalized fuzzy numbers
    Xu, Peida
    Su, Xiaoyan
    Wu, Jiyi
    Sun, Xiaohong
    Zhang, Yajuan
    Deng, Yong
    [J]. EXPERT SYSTEMS WITH APPLICATIONS, 2012, 39 (07) : 6454 - 6457
  • [28] A method for fuzzy risk analysis based on the new similarity of trapezoidal fuzzy numbers
    Xu, Zhangyan
    Shang, Shichao
    Qian, Wenbin
    Shu, Wenhao
    [J]. EXPERT SYSTEMS WITH APPLICATIONS, 2010, 37 (03) : 1920 - 1927
  • [29] ON A GENERAL-CLASS OF FUZZY-CONNECTIVES
    YAGER, RR
    [J]. FUZZY SETS AND SYSTEMS, 1980, 4 (03) : 235 - 242
123